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Finding the Fourth Proportional to 308,907.17, 461,482.24 and 199,948.95

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Solution

The fourth proportional to 308,907.17, 461,482.24 and 199,948.95 is: 298,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,907.17 : 461,482.24 = 199,948.95 : x
  2. Step 2: Convert to fraction form
    308,907.17/461,482.24 = 199,948.95/x
  3. Step 3: Cross multiply
    308,907.17x = 461,482.24 × 199,948.95
  4. Step 4: Simplify right side
    308,907.17x = 92,272,889,475.69
  5. Step 5: Solve for x
    x = 92,272,889,475.69/308,907.17
  6. Step 6: Final answer
    x = 298,707.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.